The Russian President Vladimir Putin had made a phone call on Monday to the Saudi King to discuss the Syrian crisis and seek a solution to end the war, said the Kremlin.
The Kremlin said in a statement that the two men had talked about solving the Syrian crisis, including the four sides, Russia, Saudi Arabia United States and Turkey. "All the questions associated with resolving the Syrian crisis, including four-way talks," between the four countries foreign ministers, it said.
On Sept. 30, Russia began its bombing campaign in Syria on the side of the Assad regime, targeting mostly Syrian opposition-held territories in the country - rather than ISIS - the move has been strongly protested by Turkey, US and the NATO alliance.
Saudi Arabia is a member of a US-led coalition which launched air campaigns in Syria in Sep 2014.
The foreign ministers of US, Saudi Arabia, Russia and Turkey met in Vienna on Friday to discuss the situation in Syria and to define strategies to support the so-called "political transition.”
Later on Saturday, US Secretary of State, John Kerry and King Salman met at Diriyah Farm, outside the Saudi capital of Riyadh, to continue the talks regarding a peace process in Syria.
Both Kerry and the Saudi King reiterated their desire for a peace process in Syria, without the existence of the Syrian regime leader, Bashar al Assad, who said that he is ready for fresh elections.
More than 250,000 people have been killed in Syria since the civil war started between the Assad regime and opposition forces, following the Arab Spring movement that swept a number of countries in the Middle East and North Africa.
In addition, 6.7 million are displaced internally, while at least 5 million have fled the country to the neighbouring countries of Turkey, Lebanon, Egypt and Jordan.